What is the answer to 5^{2x+3}=30 ?

The answer to 5^{2x+3}=30 is x=(ln(6/25))/(2ln(5))

Solve for x: 5^{2x+3}=30

The solution is x=(ln(6/25))/(2ln(5))

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5^{2 x + 3} = 30

x = \frac{ln ( \frac{6}{25} )}{2 ln ( 5 )}

Decimal Notation

x = - 0.44335 \dots

Solution steps

5^{2 x + 3} = 30

Apply exponent rules

(2 x + 3) ln (5) = ln (30)

Solve

(2 x + 3) ln (5) = ln (30) : x = \frac{ln ( \frac{6}{25} )}{2 ln ( 5 )}

x = \frac{ln ( \frac{6}{25} )}{2 ln ( 5 )}

e^{3 x} - 2 e^{2 x} + 1 = 0

5^{2 x} + 125 \cdot 5^{- 2 x} = 30

1000 = 300 + 200 e^{0.2 t}

e^{3 k} = 64

What is the answer to 5^{2x+3}=30 ?
The answer to 5^{2x+3}=30 is x=(ln(6/25))/(2ln(5))
Solve for x: 5^{2x+3}=30
The solution is x=(ln(6/25))/(2ln(5))